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Finding the Fourth Proportional to 894.99, 1,234.26 and 596.40

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Solution

The fourth proportional to 894.99, 1,234.26 and 596.40 is: 822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.99 : 1,234.26 = 596.40 : x
  2. Step 2: Convert to fraction form
    894.99/1,234.26 = 596.40/x
  3. Step 3: Cross multiply
    894.99x = 1,234.26 × 596.40
  4. Step 4: Simplify right side
    894.99x = 736,117.29
  5. Step 5: Solve for x
    x = 736,117.29/894.99
  6. Step 6: Final answer
    x = 822.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.